Gao, CJ (reprint author), Tsing Hua Univ, Dept Phys, Beijing 100084, Peoples R China.
The metric of a higher-dimensional dilaton black hole in the presence of a cosmological constant is constructed. It is found that the cosmological constant is coupled to the dilaton in a non-trivial way. The dilaton potential with respect to the cosmological constant consists of three Liouville-type potentials. (C) 2004 Elsevier B.V. All rights reserved.